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- W3094574807 abstract "Abstract Among the general class of metric-affine theories of gravity, there is a special class conformed by those endowed with a projective symmetry. Perhaps the simplest manner to realise this symmetry is by constructing the action in terms of the symmetric part of the Ricci tensor. In these theories, the connection can be solved algebraically in terms of a metric that relates to the spacetime metric by means of the so-called deformation matrix that is given in terms of the matter fields. In most phenomenological applications, this deformation matrix is assumed to inherit the symmetries of the matter sector so that in the presence of an isotropic energy–momentum tensor, it respects isotropy. In this work we discuss this condition and, in particular, we show how the deformation matrix can be anisotropic even in the presence of isotropic sources due to the non-linear nature of the equations. Remarkably, we find that Eddington-inspired-Born–Infeld (EiBI) theories do not admit anisotropic deformations, but more general theories do. However, we find that the anisotropic branches of solutions are generally prone to a pathological physical behaviour." @default.
- W3094574807 created "2020-10-29" @default.
- W3094574807 creator A5007778031 @default.
- W3094574807 creator A5042977036 @default.
- W3094574807 creator A5091539152 @default.
- W3094574807 date "2020-10-21" @default.
- W3094574807 modified "2023-10-18" @default.
- W3094574807 title "Anisotropic deformations in a class of projectively-invariant metric-affine theories of gravity" @default.
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- W3094574807 doi "https://doi.org/10.1088/1361-6382/abb923" @default.
- W3094574807 hasPublicationYear "2020" @default.
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